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Finding the Third Proportional to 295,052 and 446,100

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Solution

The third proportional to 295,052 and 446,100 is: 674,475.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,052 : 446,100 = 446,100 : x
  2. Step 2: Convert to fraction form
    295,052/446,100 = 446,100/x
  3. Step 3: Cross multiply
    295,052x = 446,100 × 446,100
  4. Step 4: Simplify right side
    295,052x = 199,005,210,000
  5. Step 5: Solve for x
    x = 199,005,210,000/295,052
  6. Step 6: Final answer
    x = 674,475.04

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.